x- and y-intercepts 2 | Linear equations and functions | 8th grade | Khan Academy

TL;DR

Learn how to find the x-intercept and y-intercept for a linear equation by setting one variable to 0 and solving for the other.

Transcript

We're told to find the x- and y-intercepts for the graph of this equation: 2 y plus 1/3x is equal to 12. And just as a bit of a refresher, the x-intercept is the point on the graph that intersects the x-axis. So we're not above or below the x-axis, so our y value must be equal to 0. And by the exact same argument, the y-intercept occurs when we're ... Read More

Key Insights

• ❣️ The x-intercept is found by setting y to 0 and solving for x.
• ❣️ The y-intercept is found by setting x to 0 and solving for y.
• ❣️ The x-intercept and y-intercept can be plotted on a graph to visualize their positions.
• ❣️ The x-intercept has coordinates (x, 0) and the y-intercept has coordinates (0, y).

Questions & Answers

Q: What is the x-intercept and y-intercept of the equation 2y + (1/3)x = 12?

The x-intercept is at (36, 0), and the y-intercept is at (0, 6). These points represent where the graph intersects the x-axis and y-axis, respectively.

Q: How do you find the x-intercept?

To find the x-intercept, set y to 0 in the equation and solve for x. In the equation 2y + (1/3)x = 12, we get 1/3x = 12 when y is 0. By multiplying both sides by 3, we find that x is equal to 36.

Q: How do you find the y-intercept?

To find the y-intercept, set x to 0 in the equation and solve for y. In the equation 2y + (1/3)x = 12, we get 2y = 12 when x is 0. Dividing both sides by 2, we find that y is equal to 6.

Q: What do the x-intercept and y-intercept represent?

The x-intercept represents the point where the graph intersects the x-axis, meaning the value of y is 0 at that point. The y-intercept represents the point where the graph intersects the y-axis, with the x-value being 0.

Summary & Key Takeaways

• The x-intercept is the point where the graph of a linear equation intersects the x-axis, and the y-value is 0.

• The y-intercept is the point where the graph intersects the y-axis, and the x-value is 0.

• To find the x-intercept, set y to 0 and solve for x. To find the y-intercept, set x to 0 and solve for y.